Timetable for Math431
Weekly reading | Notes | Section title | Date |
1. Pages 1 -- 14 | Introduction | 9/6 | |
Complete thought experiment | Axiomatic method | 9/8 | |
2. Pages 38 -- 51 | |||
Logical terms(typo corrected) | 9/11 | ||
More on logic and proofs | 9/13 | ||
Proofs cont'd | 9/15 | ||
3. Pages 51 -- 58 | |||
1st homework due | Practice proofs/incidence geometry | 9/18 | |
Interpretation & models | 9/20 | ||
Models cont'd | 9/22 | ||
4. Pages 58 -- 62 | |||
2nd homework due | Hyperbolic plane, real projective plane | 9/25 | |
Affine and projective planes | 9/27 | ||
Finish up models | 9/29 | ||
5. Pages 70 -- 82 | |||
3rd homework due | Betweenness axioms | 10/2 | |
Betweenness and review questions | 10/4 | ||
Exam 1 | 10/6 | ||
Betweenness cont'd | 10/9 | ||
LSP | 10/11 | ||
4th homework due | Plane separation | 10/13 | |
Break | 10/16 | ||
B4 and LSP | 10/18 | ||
End of LSP | 10/20 | ||
8. Pages 82 -- 92 | |||
5th homework due | Pasch's theorem | 10/23 | |
Crossbar theorem | 10/25 | ||
Axioms of congruence | 10/27 | ||
9. Pages 93 -- 102 | |||
6th homework due | More congruence | 10/30 | |
Congruence | 11/1 | ||
Hmm, maybe just a little bit more congruence | 11/3 | ||
7th homework due | More propositions and new terms | 11/6 | |
Review session -- bring your questions | 11/8 | ||
Exam 2 | 11/10 | ||
11. Pages 93 -- 102, 114 -- 124 | |||
Continuity axioms | 11/13 | ||
Alternate interior angle theorem | 11/15 | ||
Converse of AIA thm | 11/17 | ||
12. Pages 124 -- 134 | |||
8th homework due | Midpoints and exterior angle theorem | 11/20 | |
noon class -- 1 pm class | Isosceles triangles | 11/22 | |
13. Pages 148 -- 163 | |||
Bits and pieces of triangles | 11/27 | ||
Your conjectures | Quadrilaterals | 11/29 | |
9th homework due | Quadrilaterals cont'd | 12/1 | |
Pages 124 -- 134 | Prove or disprove conjectures and some discussion of rectangles | 12/4 | |
Angle sums | 12/6 | ||
10th homework due | Angle sums cont'd | 12/8 | |
EPP and rectangels | 12/11 | ||
12/13 |